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Finding the Fourth Proportional to 3,053.64, 4,578.66 and 1,203.24

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Solution

The fourth proportional to 3,053.64, 4,578.66 and 1,203.24 is: 1,804.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.64 : 4,578.66 = 1,203.24 : x
  2. Step 2: Convert to fraction form
    3,053.64/4,578.66 = 1,203.24/x
  3. Step 3: Cross multiply
    3,053.64x = 4,578.66 × 1,203.24
  4. Step 4: Simplify right side
    3,053.64x = 5,509,226.86
  5. Step 5: Solve for x
    x = 5,509,226.86/3,053.64
  6. Step 6: Final answer
    x = 1,804.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.